{ "id": "math/0306054", "version": "v2", "published": "2003-06-03T02:57:27.000Z", "updated": "2004-09-04T16:29:30.000Z", "title": "The surgery obstruction groups of the infinite dihedral group", "authors": [ "Francis X. Connolly", "James F. Davis" ], "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper29.abs.html", "journal": "Geom. Topol. 8(2004) 1043-1078", "categories": [ "math.GT", "math.KT" ], "abstract": "This paper computes the quadratic Witt groups (the Wall L-groups) of the polynomial ring Z[t] and the integral group ring of the infinite dihedral group, with various involutions. We show that some of these groups are infinite direct sums of cyclic groups of order 2 and 4. The techniques used are quadratic linking forms over Z[t] and Arf invariants.", "revisions": [ { "version": "v2", "updated": "2004-09-04T16:29:30.000Z" } ], "analyses": { "subjects": [ "57R67", "19J25", "19G24" ], "keywords": [ "infinite dihedral group", "surgery obstruction groups", "quadratic witt groups", "infinite direct sums", "wall l-groups" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math......6054C" } } }